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Finding the Fourth Proportional to 874.74, 1,205.93 and 594.54

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Solution

The fourth proportional to 874.74, 1,205.93 and 594.54 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.74 : 1,205.93 = 594.54 : x
  2. Step 2: Convert to fraction form
    874.74/1,205.93 = 594.54/x
  3. Step 3: Cross multiply
    874.74x = 1,205.93 × 594.54
  4. Step 4: Simplify right side
    874.74x = 716,970.65
  5. Step 5: Solve for x
    x = 716,970.65/874.74
  6. Step 6: Final answer
    x = 819.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.